Sutherland potential: Difference between revisions

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The '''Sutherland potential''' <ref>W. Sutherland, Philosophical Magazine '''36''' pp. 507- (1893) </ref> is given by
The '''Sutherland potential''' <ref>[http://dx.doi.org/10.1080/14786449308620508 William Sutherland "The viscosity of gases and molecular force", Philosophical Magazine '''36''' pp. 507-531 (1893)]</ref><ref>[http://dx.doi.org/10.1103/RevModPhys.36.1025 H. W. Graben and R. D. Present "Third Virial Coefficient for the Sutherland (∞, ν) Potential", Reviews of Modern Physics '''36''' pp.  1025-1033 (1964)]</ref> is given by


:<math>
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where <math> \Phi_{12}\left( r \right) </math> is the [[intermolecular pair potential]], <math>r := |\mathbf{r}_1 - \mathbf{r}_2|</math> is the distance between site 1 and site 2,  
where <math> \Phi_{12}\left( r \right) </math> is the [[intermolecular pair potential]], <math>r := |\mathbf{r}_1 - \mathbf{r}_2|</math> is the distance between site 1 and site 2,  
<math> \sigma </math> is the hard diameter, <math> \epsilon </math> is the energy well depth (<math> \epsilon > 0 </math>), and
<math> \sigma </math> is the radius of the central hard core, <math> \epsilon </math> is the energy well depth (<math> \epsilon > 0 </math>), and
<math> \gamma </math> is a parameter that controls the interaction range.
<math> \gamma </math> is a parameter that controls the interaction range. For example, for <math>\gamma=6</math> the potential look like


:[[Image:Sutherland.png|500px]]
==References==
==References==
<references/>
<references/>
'''Related reading'''
'''Related reading'''
*[http://dx.doi.org/10.1103/RevModPhys.36.1025 H. W. Graben and R. D. Present "Third Virial Coefficient for the Sutherland (∞, ν) Potential", Reviews of Modern Physics '''36''' pp.  1025-1033 (1964)]
*[http://dx.doi.org/10.1063/1.431141 D. Levi and M. de Llano "Closed form of second virial coefficient for Sutherland potential", Journal of Chemical Physics '''63''' pp. 4561-4562 (1975)]
*[http://dx.doi.org/10.1063/1.431141 D. Levi and M. de Llano "Closed form of second virial coefficient for Sutherland potential", Journal of Chemical Physics '''63''' pp. 4561-4562 (1975)]
*[http://dx.doi.org/10.1142/S0217979204025142 Jianxiang Tian and Yuanxing Gui "Liquid-gas phase transition to first order of an argon-like fluid modeled by the hard-core similar Sutherland potential", International Journal of Modern Physics B '''18''' pp. 2057-2069 (2004)]
*[http://dx.doi.org/10.1142/S0217979204025142 Jianxiang Tian and Yuanxing Gui "Liquid-gas phase transition to first order of an argon-like fluid modeled by the hard-core similar Sutherland potential", International Journal of Modern Physics B '''18''' pp. 2057-2069 (2004)]

Latest revision as of 15:32, 6 April 2010

The Sutherland potential [1][2] is given by

where is the intermolecular pair potential, is the distance between site 1 and site 2, is the radius of the central hard core, is the energy well depth (), and is a parameter that controls the interaction range. For example, for the potential look like

References[edit]

Related reading